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13 May 2021 - 13 May 2021

1:05PM - 2:05PM

Online (via Zoom)

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Part of the Geometry and Topology Seminar Series.

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Speaker: Federica Fanoni

Two hyperbolic surfaces are said to be (length) isospectral if they have the same collection of lengths of primitive closed geodesics, counted with multiplicity (i.e. if they have the same length spectrum).

For closed surfaces, there is an upper bound on the size of isospectral hyperbolic structures depending only on the topology. We will show that the situation is very different for infinite-type surfaces, by constructing large families of isospectral hyperbolic structures on surfaces of infinite genus.


This is a free event